find m if (m-12)x²+2(m-12)x+2= 0 has real and equal roots
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Step-by-step explanation:
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Answered by
5
Step-by-step explanation:
d=0 (real and equal roots)
d= b^2-4ac
0 ={2(m-12)}^2-4(m-12)(2)
=4(m^2-24m+144)-4(2m-24)
= 4{m^2-24m+144-2m+24)
=m^2-26m+168
=m^2-12m-14m+168
=m(m-12) -14(m-12)
=(m-12)(m-14)
=m=>12 &14
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